Given numbers are 633,900,948,643,438

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 633,900,948,643,438 is 704183571900.

Find LCM of 633,900,948,643,438 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 211 x 75 x 79 x 643 x 73 = 704183571900

Therefore, the lowest common multiple of 633,900,948,643,438 is 704183571900.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

633 x 900 x 948 x 643 x 438 = 152103651530400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

633 : 1, 3, 211, 633

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

643 : 1, 643

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,900,948,643,438, is 1.

Now, the common factors can be found like this.

633:3x 211

900:2x 2x 3x 3x 5x 5

948:2x 2x 3x 79

643:643

438:2x 3x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 152103651530400/(1x216)

LCM = 152103651530400/216

LCM = 704183571900

Thus, we can understand that the LCM of 633,900,948,643,438 is 704183571900.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 890, 872, 664, 416, 742
• LCM of 329, 608, 323, 847, 834
• LCM of 709, 866, 447, 783, 249
• LCM of 963, 462, 459, 926, 836
• LCM of 320, 723, 483, 422, 170

1. What is the LCM of 633, 900, 948, 643, 438?

Answer: LCM of 633, 900, 948, 643, 438 is 704183571900.

2. How to calculate the LCM of 633, 900, 948, 643, 438?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 633, 900, 948, 643, 438.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.